![Image of polytope 3900](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/3DReflexivePolytope.3900.png) |
PALP id: |
3900 |
grdb id: |
442762 |
Integer points: |
[ 1 0 0 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1 0 0 0 -1 0 0] [ 0 1 1 0 -2 -2 0 0 0 0 1 1 -1 -1 -1 -1 0 0 0 -2 -1 -1] [ 0 0 3 2 -4 -2 -2 1 0 -1 2 1 0 -1 -2 -3 1 0 -1 -3 -1 -2] |
Degree: |
12 |
Hilbert function: |
1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ... |
Polynomials: |
Period sequence |
Fano variety |
Laurent polynomial |
11 |
rank 2, number 6 |
y*z3 + 3*y*z2 + 3*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 2*z-1 + 6*x-1 + 2*y-1*z-1 + 4*x-1*z-1 + 2*x-1*y-1 + 2*y-1*z-2 + x-1*z-2 + 6*x-1*y-1*z-1 + 6*x-1*y-1*z-2 + 2*x-1*y-1*z-3 + x-1*y-2*z-2 + 2*x-1*y-2*z-3 + x-1*y-2*z-4 |
|
Facets: |
Facet |
Multiplicity |
Admissible lattice Minkowksi decompositions |
![Image of facet 16](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.16.png) |
1 |
|
![Image of facet 9](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.9.png) |
1 |
irreducible and admissible
|
![Image of facet 90](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.90.png) |
1 |
|
![Image of facet 22](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.22.png) |
2 |
|
![Image of facet 127](http://coates.ma.ic.ac.uk/fanosearch/wp-content/uploads/2010/09/facet.127.png) |
1 |
|
|